SupposewetestH0:0.5=H versusHa :0.5>H usingthebinomialtestwithasamplesize

n=10.

1. IfwerejectH0whenB8,usethebinomialtableA1 or R todeterminetheexactprobabilityofaTypeIerror.
2. SupposeweobserveavalueofB=bobs.Thep-valueistheprobabilitythatBbobsgiventhat

H0istrue.Derivethep-valuesforbobs= 5,6,7,8,9,10.

STAT 445545 Nonparametric Statistics Instructions for All Assignments I Show all your work to get full points. Eur answer only shows R outEit, without supplementary formulas and necessary statistical analysis, you will not get full credit. It is OK to use R to calculate test statistics and pvalues. Supplement results from R with equations to calculate the test statistic and p-value. You do not need to do everything by hand. Your answers must be as complete and clear as possible. Use signicance level o.=0.05 for all tests. Your answers must include the following items: 0 Assumptions I The assumptions for using the Nonparametric test. I Verify each assumption when possible. 0 Sample statistic I o Hypothesis Testing I Null hypothesis and alternative hypothesis. I The formula for calculating the test statistic and the observed test statistic. I The formula for calculating the exact p-value and the pvalue. [t'not possible to get an exact p-value, explain why it is not possible and calculate the p-value using an alternative method. I Your decision about the null hypothesis. I State your conclusion and interpret the conclusion in plain language based on the question 0 Condence Intervals I Give the formula or describe the process used to derive the interval. I Interpret each interval